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490926246048 = 25327243515003
BaseRepresentation
bin1110010010011010111…
…11000000100010100000
31201221011111100020211100
413021031133000202200
531020404104333143
61013310045114400
750316416145240
oct7111537004240
91657144306740
10490926246048
1117a223081897
127b18a258a00
13373a93163b4
1419a920cdb20
15cb842386d3
hex724d7c08a0

490926246048 has 72 divisors (see below), whose sum is σ = 1595510306208. Its totient is φ = 140264641152.

The previous prime is 490926246043. The next prime is 490926246053. The reversal of 490926246048 is 840642629094.

490926246048 is a `hidden beast` number, since 4 + 9 + 0 + 9 + 2 + 6 + 24 + 604 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (490926246043) and next prime (490926246053).

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 490926245985 and 490926246003.

It is not an unprimeable number, because it can be changed into a prime (490926246043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121755486 + ... + 121759517.

It is an arithmetic number, because the mean of its divisors is an integer number (22159865364).

Almost surely, 2490926246048 is an apocalyptic number.

490926246048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

490926246048 is an abundant number, since it is smaller than the sum of its proper divisors (1104584060160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

490926246048 is a wasteful number, since it uses less digits than its factorization.

490926246048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243515026 (or 243515015 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 490926246048 in words is "four hundred ninety billion, nine hundred twenty-six million, two hundred forty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 243515003 487030006 730545009 974060012 1461090018 1704605021 1948120024 2191635027 2922180036 3409210042 3896240048 4383270054 5113815063 5844360072 6818420084 7792480096 8766540108 10227630126 11688720144 13636840168 15341445189 17533080216 20455260252 23377440288 27273680336 30682890378 35066160432 40910520504 54547360672 61365780756 70132320864 81821041008 122731561512 163642082016 245463123024 490926246048